Explore topic-wise MCQs in Joint Entrance Exam - Main (JEE Main).

This section includes 12583 Mcqs, each offering curated multiple-choice questions to sharpen your Joint Entrance Exam - Main (JEE Main) knowledge and support exam preparation. Choose a topic below to get started.

5701.

A cell of e.m.f. \[E\] is connected with an external resistance \[R\], then p.d. across cell is \[V\].  The internal resistance of cell will be                [MNR 1987; Kerala PMT 2002; MP PMT 2002]

A.                    \[\frac{(E-V)R}{E}\]
B.                                      \[\frac{(E-V)R}{V}\]
C.                    \[\frac{(V-E)R}{V}\]   
D.            \[\frac{(V-E)R}{E}\]
Answer» C.                    \[\frac{(V-E)R}{V}\]   
5702.

A current of 2.0 ampere passes through a cell of e.m.f. 1.5 volts having internal resistance of 0.15 ohm.  The potential difference measured, in volts, across both the ends of the cell will be                                     [UPSEAT 1999, 2000]

A.            1.35                                          
B.            1.50
C.            1.00                                          
D.            1.20
Answer» E.
5703.

The current in the given circuit is                                                   [AIIMS 2000; MH CET 2003]

A.            0.1 A
B.            0.2 A
C.            0.3 A
D.            0.4 A
Answer» B.            0.2 A
5704.

The internal resistance of a cell of e.m.f. 12V is \[5\times {{10}^{-2}}\,\Omega \]. It is connected across an unknown resistance. Voltage across the cell, when a current of 60 A is drawn from it, is [CBSE PMT 2000]

A.            15 V                                         
B.            12 V
C.            9 V
D.            6 V
Answer» D.            6 V
5705.

In the given circuit the current I1 is                           [DCE 2000]

A.            0.4 A
B.            ? 0.4 A
C.            0.8 A
D.            ? 0.8 A
Answer» C.            0.8 A
5706.

A battery having e.m.f. \[5\,\,V\] and internal resistance 0.5 W is connected with a resistance of 4.5 W then the voltage at the terminals of battery is                                    [RPMT 2000]

A.            4.5 V                                        
B.            4 V
C.            0 V
D.            2 V
Answer» B.            4 V
5707.

A storage cell is charged by 5 amp D.C. for 18 hours.  Its strength after charging will be                                    [JIPMER 1999]

A.            18 AH
B.                                      5 AH
C.            90 AH
D.            15 AH
Answer» D.            15 AH
5708.

A cell of emf 6 V and resistance 0.5 ohm is short circuited.  The current in the cell is                                           [JIPMER 1999]

A.            3 amp
B.            12 amp
C.            24 amp                                   
D.            6 amp
Answer» C.            24 amp                                   
5709.

Electromotive force is the force, which is able to maintain a constant                                      [Pb. PMT 1999]

A.            Current
B.                                      Resistance
C.            Power                                     
D.            Potential difference
Answer» E.
5710.

Four identical cells each having an electromotive force (e.m.f.) of 12V, are connected in parallel. The resultant electromotive force (e.m.f.) of the combination is                                                                                              [CPMT 1999]

A.            48 V                                         
B.            12 V
C.            4 V
D.            3 V
Answer» C.            4 V
5711.

In the shown circuit, what is the potential difference across A and B                                        [AIIMS 1999]

A.            50 V
B.            45 V
C.            30 V
D.            20 V
Answer» E.
5712.

The e.m.f. of a cell is E volts and internal resistance is \[r\] ohm. The resistance in external circuit is also\[r\] ohm. The p.d. across the cell will be                     [CPMT 1985; NCERT 1973]

A.                    E/2
B.                                      2E
C.                    4E                                      
D.            E/4
Answer» B.                                      2E
5713.

Two batteries of e.m.f. 4V and 8 V with internal resistances 1 W and 2 W are connected in a circuit with a resistance of 9 W as shown in figure.  The current and potential difference between the points P and Q are                    [AFMC 1999]

A.            \[\frac{1}{3}A\,\,\text{and }\,3V\]
B.            \[\frac{1}{6}A\,\,\text{and}\,\text{ }4V\]
C.            \[\frac{1}{9}A\,\,\text{and}\,\text{ 9}V\]
D.            \[\frac{1}{2}A\,\,\text{and}\,\,12V\]
Answer» B.            \[\frac{1}{6}A\,\,\text{and}\,\text{ }4V\]
5714.

For driving a current of 2 A for 6 minutes in a circuit, 1000 J of work is to be done.  The e.m.f. of the source in the circuit is                                                                                          [CPMT 1999]

A.            1.38 V
B.                                      1.68 V
C.            2.04 V                                      
D.            3.10 V
Answer» B.                                      1.68 V
5715.

Emf is most closely related to                                     [DCE 1999]

A.            Mechanical force               
B.            Potential difference
C.            Electric field                          
D.            Magnetic field
Answer» C.            Electric field                          
5716.

The number of dry cells, each of e.m.f. 1.5 volt and internal resistance 0.5 ohm that must be joined in series with a resistance of 20 ohm so as to send a current of 0.6 ampere through the circuit is                                                [SCRA 1998]

A.                    2
B.                                      8
C.                    10                                      
D.            12
Answer» D.            12
5717.

A storage battery has e.m.f. 15 volts and internal resistance 0.05 ohm. Its terminal voltage when it is delivering 10 ampere is                                                                       [JIPMER 1997]

A.                    30 volts
B.                                      1.00 volts
C.                    14.5 volts                       
D.            15.5 volts
Answer» D.            15.5 volts
5718.

Two resistances \[{{R}_{1}}\] and \[{{R}_{2}}\] are joined as shown in the figure to two batteries of e.m.f. \[{{E}_{1}}\] and \[{{E}_{2}}\]. If \[{{E}_{2}}\] is short-circuited, the current through \[{{R}_{1}}\] is           [NDA 1995]

A.                    \[{{E}_{1}}/{{R}_{1}}\]
B.                    \[{{E}_{2}}/{{R}_{1}}\]
C.                    \[{{E}_{2}}/{{R}_{2}}\]
D.                    \[{{E}_{1}}/({{R}_{2}}+{{R}_{1}})\]
Answer» B.                    \[{{E}_{2}}/{{R}_{1}}\]
5719.

If \[{{V}_{AB}}=4V\] in the given figure, then resistance X will be [RPET 1997]

A.                                                      \[5\,\Omega \]
B.                    \[10\,\Omega \]
C.                    \[15\,\Omega \]
D.                    \[20\,\Omega \]
Answer» E.
5720.

Consider the circuit shown in the figure. The current \[{{I}_{3}}\] is equal to                                        [AMU 1995]

A.                    5 amp
B.                    3 amp
C.                    \[-3\,amp\]
D.                    \[-5/6\,amp\]
Answer» E.
5721.

If six identical cells each having an e.m.f. of 6V are connected in parallel, the e.m.f. of the combination is                                   [EAMCET (Med.) 1995; Pb. PMT 1999; CPMT 2000]

A.                    1 V
B.                                      36 V
C.                    \[\frac{1}{6}V\]           
D.            6 V
Answer» E.
5722.

Two non-ideal identical batteries are connected in parallel. Consider the following statements                                   [MP PMT 1999]            (i)   The equivalent e.m.f. is smaller than either of the two e.m.f.s            (ii)  The equivalent internal resistance is smaller than either of the two internal resistances

A.                    Both (i) and (ii) are correct
B.                    (i) is correct but (ii) is wrong
C.                    (ii) is correct but (i) is wrong
D.                    Both (i) and (ii) are wrong
Answer» D.                    Both (i) and (ii) are wrong
5723.

By a cell a current of 0.9 A flows through 2 ohm resistor and 0.3 A through 7 ohm resistor. The internal resistance of the cell is                                                                            [KCET 2003]

A.                    \[0.5\,\Omega \]
B.            \[1.0\,\Omega \]
C.                    \[1.2\,\Omega \]        
D.            \[2.0\,\Omega \]
Answer» B.            \[1.0\,\Omega \]
5724.

When a resistance of 2 ohm is connected across the terminals of a cell, the current is 0.5 A. When the resistance is increased to 5 ohm, the current is 0.25 A. The e.m.f. of the cell is                                 [MP PET 1999, 2000; Pb. PMT 2002; MP PMT 2000]

A.                    1.0 V
B.                                      1.5 V
C.                    2.0 V                                
D.            2.5 V
Answer» C.                    2.0 V                                
5725.

The current in the arm CD of the circuit will be                                      [MP PMT/PET 1998; MP PMT 2000; DPMT 2000]

A.                    \[{{i}_{1}}+{{i}_{2}}\]
B.                    \[{{i}_{2}}+{{i}_{3}}\]
C.                    \[{{i}_{1}}+{{i}_{3}}\]
D.                    \[{{i}_{1}}-{{i}_{2}}+{{i}_{3}}\]
Answer» C.                    \[{{i}_{1}}+{{i}_{3}}\]
5726.

100 cells each of e.m.f. 5 V and internal resistance 1 ohm are to be arranged so as to produce maximum current in a 25 ohms resistance. Each row is to contain equal number of cells. The number of rows should be              [MP PMT 1997]

A.                    2
B.                                      4
C.                    5                                        
D.            10
Answer» B.                                      4
5727.

A current of two amperes is flowing through a cell of e.m.f. 5 volts and internal resistance 0.5 ohm from negative to positive electrode. If the potential of negative electrode is 10V, the potential of positive electrode will be                                                                                          [MP PMT 1997]

A.                    5 V                                    
B.            14 V
C.                    15 V                                  
D.            16 V
Answer» C.                    15 V                                  
5728.

Consider the circuit given here with the following parameters            E.M.F. of the cell = 12 V. Internal resistance of the cell \[=2\,\Omega \]. Resistance \[R=4\,\Omega \]            Which one of the following statements in true

A.                    Rate of energy loss in the source is = 8 W
B.                    Rate of energy conversion in the source is 16 W
C.                    Power output in is = 8 W
D.                    Potential drop across R is = 16 V
Answer» B.                    Rate of energy conversion in the source is 16 W
5729.

A dry cell has an e.m.f. of 1.5 V and an internal resistance of \[0.05\,\Omega \]. The maximum current obtainable from this cell for a very short time interval is                                                                  [Haryana CEE 1996]

A.                    30 A
B.                                      300 A
C.                    3 A                                    
D.            0.3 A
Answer» B.                                      300 A
5730.

A battery of e.m.f. E and internal resistance r is connected to a variable resistor R as shown here. Which one of the following is true                                                         [MP PMT 1995]

A.                    Potential difference across the terminals of the battery is maximum when R = r
B.                    Power delivered to the resistor is maximum when R = r
C.                    Current in the circuit is maximum when R = r
D.                    Current in the circuit is maximum when \[R>>r\]
Answer» C.                    Current in the circuit is maximum when R = r
5731.

The figure shows a network of currents. The magnitude of currents is shown here. The current i will be                                                                                          [MP PMT 1995]

A.                    3 A
B.                    13 A
C.                    23 A
D.                    ? 3 A
Answer» D.                    ? 3 A
5732.

The electromotive force of a primary cell is 2 volts. When it is short-circuited it gives a current of 4 amperes. Its internal resistance in ohms is                                                 [MP PET 1995]

A.                    0.5
B.                                      5.0
C.                    2.0                                    
D.            8.0
Answer» B.                                      5.0
5733.

A torch battery consisting of two cells of 1.45 volts and an internal resistance \[0.15\,\Omega \], each cell sending currents through the filament of the lamps having resistance 1.5ohms. The value of current will be          [MP PET 1994]

A.                    16.11 amp                     
B.            1.611 amp
C.                    0.1611 amp                   
D.            2.6 amp
Answer» C.                    0.1611 amp                   
5734.

A cell of \[e.m.f.\] \[1.5\,V\] having a finite internal resistance is connected to a load resistance of \[2\,\Omega \]. For maximum power transfer the internal resistance of the cell should be [BIT 1988]

A.                    4 ohm                              
B.            0.5 ohm
C.                    2 ohm                              
D.            None of these
Answer» D.            None of these
5735.

The internal resistances of two cells shown are \[0.1\,\Omega \] and \[0.3\,\Omega \]. If \[R=0.2\,\Omega \], the potential difference across the cell

A.                    B will be zero
B.                    A will be zero
C.                    A and B will be 2V
D.                    A will be \[>2V\] and B will be \[<2V\]
Answer» B.                    A will be zero
5736.

Two identical cells send the same current in \[2\,\Omega \] resistance, whether connected in series or in parallel. The internal resistance of the cell should be                                                                 [NCERT 1982; Kerala PMT 2002]

A.                    \[1\,\Omega \]
B.                                      \[2\,\Omega \]
C.                    \[\frac{1}{2}\Omega \]    
D.            \[2.5\,\Omega \]
Answer» C.                    \[\frac{1}{2}\Omega \]    
5737.

To get the maximum current from a parallel combination of n identical cells each of internal resistance r in an external resistance R, when                                                       [DPMT 1999]

A.                    \[R>>r\]
B.                                      \[R<<r\]
C.                    \[R=r\]                            
D.            None of these
Answer» C.                    \[R=r\]                            
5738.

A cell of internal resistance r is connected to an external resistance R. The current will be maximum in R, if                                                                                              [CPMT 1982]

A.                    \[R=r\]
B.                                      \[R<r\]
C.                    \[R>r\]                            
D.            \[R=r/2\]
Answer» B.                                      \[R<r\]
5739.

n identical cells each of e.m.f. E and internal resistance r are connected in series. An external resistance R is connected in series to this combination. The current through R is [DPMT 2002]

A.                    \[\frac{nE}{R+nr}\]
B.                                      \[\frac{nE}{nR+r}\]
C.                    \[\frac{E}{R+nr}\]       
D.            \[\frac{nE}{R+r}\]
Answer» B.                                      \[\frac{nE}{nR+r}\]
5740.

The internal resistance of a cell depends on

A.                    The distance between the plates
B.                    The area of the plates immersed
C.                    The concentration of the electrolyte
D.                    All the above
Answer» E.
5741.

When cells are connected in parallel, then                                                                                                [MNR 1983]

A.                    The current decreases     
B.            The current increases
C.                    The e.m.f. increases 
D.            The e.m.f. decreases
Answer» C.                    The e.m.f. increases 
5742.

The reading of a high resistance voltmeter when a cell is connected across it is 2.2 V. When the terminals of the cell are also connected to a resistance of \[5\,\Omega \] the voltmeter reading drops to 1.8 V. Find the internal resistance of the cell                                                                                                            [KCET 2003; MP PMT 2003]

A.                    \[1.2\,\Omega \]
B.                                      \[1.3\,\Omega \]
C.                    \[1.1\,\Omega \]        
D.            \[1.4\,\Omega \]
Answer» D.            \[1.4\,\Omega \]
5743.

A cell whose e.m.f. is 2 V and internal resistance is \[0.1\,\Omega \], is connected with a resistance of\[3.9\,\Omega \]. The voltage across the cell terminal will be [CPMT 1990; MP PET 1993; CBSE PMT 1999; AFMC 1999; Pb. PMT 2000; AIIMS 2001]

A.                    \[0.50\,V\]
B.                                      \[1.90\,V\]
C.                    \[1.95\,V\]                    
D.            \[2.00\,V\]
Answer» D.            \[2.00\,V\]
5744.

A new flashlight cell of e.m.f. 1.5 volts gives a current of 15 amps, when connected directly to an ammeter of resistance \[0.04\,\Omega \]. The internal resistance of cell is [MP PET 1994]

A.                    \[0.04\,\Omega \]
B.                                      \[0.06\,\Omega \]
C.                    \[0.10\,\Omega \]      
D.            \[10\,\Omega \]
Answer» C.                    \[0.10\,\Omega \]      
5745.

The magnitude and direction of the current in the circuit shown will be                                  [CPMT 1986, 88]

A.                    \[\frac{7}{3}\]A from a to b through e
B.                    \[\frac{7}{3}\]A from b to a through e
C.                    1A from b to a through e
D.                    1A from a to b through e            
Answer» E.
5746.

The potential difference in open circuit for a cell is 2.2 volts. When a 4 ohm resistor is connected between its two electrodes the potential difference becomes 2 volts. The internal resistance of the cell will be                                             [MP PMT 1984; SCRA 1994; CBSE PMT 2002]

A.                    1 ohm
B.                                      0.2 ohm
C.                    2.5 ohm                          
D.            0.4 ohm
Answer» E.
5747.

A 50V battery is connected across a 10 ohm resistor. The current is 4.5 amperes. The internal resistance of the battery is                                                 [CPMT 1985; BHU 1997; Pb. PMT 2001]

A.                    Zero
B.                                      0.5 ohm
C.                    1.1 ohm
D.            5.0 ohm
Answer» D.            5.0 ohm
5748.

A primary cell has an e.m.f. of 1.5 volts, when short-circuited it gives a current of 3 amperes. The internal resistance of the cell is                                                               [CPMT 1976, 83]

A.                    4.5\[ohm\]
B.                                      2\[ohm\]
C.                    0.5\[ohm\]                    
D.            1/4.5\[ohm\]
Answer» D.            1/4.5\[ohm\]
5749.

The terminal potential difference of a cell when short-circuited is (\[E\] = E.M.F. of the cell)

A.                    \[E\]
B.                                      \[E/2\]
C.                    Zero                                 
D.            \[E/3\]
Answer» D.            \[E/3\]
5750.

When a resistance of 2ohm is connected across the terminals of a cell, the current is 0.5 amperes. When the resistance is increased to 5 ohm, the current is 0.25 amperes. The internal resistance of the cell is                                   [MP PMT 1996]

A.                    \[0.5\,ohm\]
B.                                      \[1.0\,ohm\]
C.                    \[1.5\,ohm\]                
D.            \[2.0\,ohm\]
Answer» E.